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Finding the Fourth Proportional to 10,698.19, 14,763.96 and 5,982.43

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Solution

The fourth proportional to 10,698.19, 14,763.96 and 5,982.43 is: 8,256.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.19 : 14,763.96 = 5,982.43 : x
  2. Step 2: Convert to fraction form
    10,698.19/14,763.96 = 5,982.43/x
  3. Step 3: Cross multiply
    10,698.19x = 14,763.96 × 5,982.43
  4. Step 4: Simplify right side
    10,698.19x = 88,324,357.22
  5. Step 5: Solve for x
    x = 88,324,357.22/10,698.19
  6. Step 6: Final answer
    x = 8,256.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.